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Finding the Third Proportional to 80,219.63 and 123,313.88

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Solution

The third proportional to 80,219.63 and 123,313.88 is: 189,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,219.63 : 123,313.88 = 123,313.88 : x
  2. Step 2: Convert to fraction form
    80,219.63/123,313.88 = 123,313.88/x
  3. Step 3: Cross multiply
    80,219.63x = 123,313.88 × 123,313.88
  4. Step 4: Simplify right side
    80,219.63x = 15,206,311,767.52
  5. Step 5: Solve for x
    x = 15,206,311,767.52/80,219.63
  6. Step 6: Final answer
    x = 189,558.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.